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One supporting character is a camp gay. A number of jokes revolve around the young lieutenant and Anna having an affair, including the scene where Bronski accidentally gets into bed with the lieutenant and proceeds to act as if he's in bed with his wife.
No bloody violence, though at least one character dies (Professor Siletski). His corpse is the setpiece for a gag.
Numerous characters smoke and drink during the film.
No truly frightening scenes, however be aware that this film does tend to make light of Nazism, and so may be unintentionally offensive to some.